Characterization of greedy bases in Banach spaces

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• 作者：Pablo M. Berná ; ^a ; ^{pmbl1991@gmail.com} ; Ó ; scar Blasco^b ; ^{oscar.blasco@uv.es}
• 关键词：46B15 ; 41A65
• 刊名：Journal of Approximation Theory
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：215
• 期：Complete
• 页码：28-39
• 全文大小：270 K
• 卷排序：215

文摘

We shall present a new characterization of greedy bases and 1-greedy bases in terms of certain functionals defined using distances to one dimensional subspaces generated by the basis. We also introduce a new property that unifies the notions of unconditionality and democracy and allows us to recover a better dependence on the constants.